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Plz help, im on a timer and its about to end

Plz help, im on a timer and its about to end-example-1

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3 votes

Answer:

Answer: The third equation

Explanation:

From the general equation of a line:


\hookrightarrow \: { \boxed{ \tt{y = mx + b}}}

• m is the slope


{ \tt{slope = (y _(2) - y _(1) )/(x _(2) - x _(1)) }} \\ \\ m = { \tt{ ( - 1- ( - 2))/(4 - 0) = (1)/(4) }}

• b is the y-intercept:


{ \tt{y = mx + b}}

consider point (0, -2):


{ \tt{ - 2 = (0 * (1)/(4) ) + b }} \\ \\ { \tt{b = - 2}}

• Therefore, equation is;


\dashrightarrow \: { \boxed{ \tt{y = (1)/(4)x - 2 }}}

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